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Finding the Fourth Proportional to 8,471.44, 11,690.43 and 4,694.46

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Solution

The fourth proportional to 8,471.44, 11,690.43 and 4,694.46 is: 6,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.44 : 11,690.43 = 4,694.46 : x
  2. Step 2: Convert to fraction form
    8,471.44/11,690.43 = 4,694.46/x
  3. Step 3: Cross multiply
    8,471.44x = 11,690.43 × 4,694.46
  4. Step 4: Simplify right side
    8,471.44x = 54,880,194.57
  5. Step 5: Solve for x
    x = 54,880,194.57/8,471.44
  6. Step 6: Final answer
    x = 6,478.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.